%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWX200+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 07:02:07 PM UTC 2026
% Result : Theorem 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 32 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 7 |; 1 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 6 sgn 5 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goal_016,plain,
? [Xs,Ys] :
~ ( ord(Xs)
=> ( ~ ord(Ys)
=> ord(merge(Xs,Ys)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_016) ).
fof(goal_016_negated,plain,
~ ? [Xs,Ys] :
~ ( ord(Xs)
=> ( ~ ord(Ys)
=> ord(merge(Xs,Ys)) ) ),
inference(negate_conjecture,[status(cth)],[goal_016]) ).
cnf(18,plain,
( ~ ord(X0)
| ord(X1)
| ord(merge(X0,X1)) ),
inference(cnf,[status(esa)],[goal_016_negated]) ).
cnf(l0,plain,
( ~ ord(nil)
| ord(cons(s(X0_3),cons(z,X2_6)))
| ord(merge(nil,cons(s(X0_3),cons(z,X2_6)))) ),
inference(instantiation,[status(thm)],[18]) ).
fof(axiom_015,plain,
! [Y,Y2,Xs] :
( ord(cons(Y,cons(Y2,Xs)))
<=> ( leqNat(Y,Y2)
& ord(cons(Y2,Xs)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_015) ).
cnf(15,plain,
( ~ ord(cons(X0,cons(X1,X2)))
| leqNat(X0,X1) ),
inference(cnf,[status(esa)],[axiom_015]) ).
cnf(l1,plain,
( ~ ord(cons(s(X0_3),cons(z,X2_6)))
| leqNat(s(X0_3),z) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l6,plain,
( ~ ord(cons(s(X0_3),cons(z,X2_6)))
| leqNat(s(X0_3),z) ),
inference(instantiation,[status(thm)],[15]) ).
fof(axiom_009,plain,
! [Y] : merge(nil,Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_009) ).
cnf(9,plain,
merge(nil,X0) = X0,
inference(cnf,[status(esa)],[axiom_009]) ).
cnf(l12,plain,
merge(nil,cons(s(X0_3),cons(z,X2_6))) = cons(s(X0_3),cons(z,X2_6)),
inference(instantiation,[status(thm)],[9]) ).
fof(axiom_007,plain,
! [Z] : ~ leqNat(s(Z),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_007) ).
cnf(6,plain,
~ leqNat(s(X0),z),
inference(cnf,[status(esa)],[axiom_007]) ).
cnf(l11,plain,
~ leqNat(s(X0_3),z),
inference(instantiation,[status(thm)],[6]) ).
fof(axiom_013,plain,
ord(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_013) ).
cnf(13,plain,
ord(nil),
inference(cnf,[status(esa)],[axiom_013]) ).
cnf(l2,plain,
ord(nil),
inference(instantiation,[status(thm)],[13]) ).
cnf(l3,plain,
~ leqNat(s(X0_3),z),
inference(instantiation,[status(thm)],[6]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l12,l11,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX200+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.34 % Computer : n020.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 11:15:34 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 % launching worker at depth: 2
% 0.17/0.34 % launching worker at depth: 6
% 0.17/0.34 % launching worker at depth: 1
% 0.17/0.34 % launching worker at depth: 4
% 0.17/0.34 % launching worker at depth: 5
% 0.17/0.34 % launching worker at depth: 3
% 0.17/0.34 % launching worker at depth: 7
% 0.17/0.34 % launching worker at depth: 8
% 0.17/0.34 % launching worker at depth: 9
% 0.17/0.35 % launching worker at depth: 10
% 0.20/0.37 % SZS status Theorem for theBenchmark
% 0.20/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------